Development of Mathematical Reasoning

Iuculano, Teresa; Menon, Vinod

doi:10.1002/9781119170174.epcn406

Cited by 10 publications

(9 citation statements)

References 171 publications

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“…In addition, it should be noted that the two-network framework makes more specific predictions concerning both gray and white matter contributions to numerical cognition compared to the network proposed by Amalric and Dehaene ( 2019 ). Iuculano and Menon ( 2018 ) propose that numerical cognition is based on “neural building blocks […] that are constructed from core hubs anchored in the IPS and the FG and their associated functional circuits.” Taking into account the complexity of the involved networks and their developmental trajectories, the authors conclude that in order to understand the neural origins of DD, we need to adopt “a systems neuroscience approach, with its emphasis on networks and connectivity, rather than a pure localization approach.”…”

Section: Discussionmentioning

confidence: 99%

The two-network framework of number processing: a step towards a better understanding of the neural origins of developmental dyscalculia

Klein

Knops

2023

J Neural Transm

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Developmental dyscalculia is a specific learning disorder that persists over lifetime and can have an enormous impact on personal, health-related, and professional aspects of life. Despite its central importance, the origin both at the cognitive and neural level is not yet well understood. Several classification schemas of dyscalculia have been proposed, sometimes together with an associated deficit at the neural level. However, these explanations are (a) not providing an exhaustive framework that is at levels with the observed complexity of developmental dyscalculia at the behavioral level and (b) are largely mono-causal approaches focusing on gray matter deficits. We suggest that number processing is instead the result of context-dependent interaction of two anatomically largely separate, distributed but overlapping networks that function/cooperate in a closely integrated fashion. The proposed two-network framework (TNF) is the result of a series of studies in adults on the neural correlates underlying magnitude processing and arithmetic fact retrieval, which comprised neurofunctional imaging of various numerical tasks, the application of probabilistic fiber tracking to obtain well-defined connections, and the validation and modification of these results using disconnectome mapping in acute stroke patients. Emerged from data in adults, it represents the endpoint of the acquisition and use of mathematical competencies in adults. Yet, we argue that its main characteristics should already emerge earlier during development. Based on this TNF, we develop a classification schema of phenomenological subtypes and their underlying neural origin that we evaluate against existing propositions and the available empirical data.

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Section: Discussionmentioning

confidence: 99%

The two-network framework of number processing: a step towards a better understanding of the neural origins of developmental dyscalculia

Klein

Knops

2023

J Neural Transm

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“…One largely debated theme in cognitive neuroscience is how the human brain developed the ability to perform mathematics. While mathematical skills certainly rely on the interplay of a wide range of cognitive functions (De Smedt et al, 2013; Fias, 2016; Iuculano and Menon, 2018), an influential theory in the field proposes that a necessary prerequisite to develop such a sophisticated uniquely human ability resides in the ‘number sense’ (Dehaene, 1997). This is a phylogenetically ancient competence that enables humans and other animals to assess and mentally manipulate the approximate number of objects in sets.…”

Section: Introductionmentioning

confidence: 99%

Attentional amplification of neural codes for number independent of other quantities along the dorsal visual stream

Castaldi

Piazza

Dehaene

et al. 2019

eLife

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Humans and other animals base important decisions on estimates of number, and intraparietal cortex is thought to provide a crucial substrate of this ability. However, it remains debated whether an independent neuronal processing mechanism underlies this ‘number sense’, or whether number is instead judged indirectly on the basis of other quantitative features. We performed high-resolution 7 Tesla fMRI while adult human volunteers attended either to the numerosity or an orthogonal dimension (average item size) of visual dot arrays. Along the dorsal visual stream, numerosity explained a significant amount of variance in activation patterns, above and beyond non-numerical dimensions. Its representation was selectively amplified and progressively enhanced across the hierarchy when task relevant. Our results reveal a sensory extraction mechanism yielding information on numerosity separable from other dimensions already at early visual stages and suggest that later regions along the dorsal stream are most important for explicit manipulation of numerical quantity.

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“…Learning mathematics is a hierarchical process in which every new concept builds on previously acquired knowledge and on lower-level cognitive primitives (Iuculano and Menon, 2018). One widely influential theory of numerical cognition proposed as the very first building block of mathematical knowledge the preverbal capacity to quickly determine the number of items in an image, based on the so called 'number sense' (Dehaene, 1997), that humans share with other animals since very early in life (Cantlon, 2012;de Hevia et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Mapping numerical perception and operations in relation to functional and anatomical landmarks of human parietal cortex

Castaldi

Vignaud

Eger

2019

Preprint

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Human functional imaging has identified the middle part of the intraparietal sulcus (IPS) as an important brain substrate for different types of numerical tasks. This area is often equated with the macaque ventral intraparietal area (VIP) where neuronal selectivity for non-symbolic numbers is found. However, the low spatial resolution and whole-brain averaging analysis performed in most fMRI studies limit the extent to which an exact correspondence of activation in different numerical tasks with specific sub-regions of the IPS can be established.Here we disentangled the functional neuroanatomy of numerical perception and operations (comparison and calculation) by acquiring high-resolution 7T fMRI data in a group of human adults, and relating the activations in different numerical contrasts to anatomical and functional landmarks on the cortical surface. Our results reveal a functional heterogeneity within human intraparietal cortex where the visual field map representations in superior/medial parts of IPS and superior parietal gyrus are involved predominantly in numerosity perception, whereas numerical operations predominantly recruit lateral/inferior parts of IPS. Since calculation and comparison-related activity fell mainly outside the field map representations considered the functional equivalent of the monkey VIP/LIP complex, the areas most activated during such numerical operations in humans are likely different from VIP.

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Development of Mathematical Reasoning

Cited by 10 publications

References 171 publications

The two-network framework of number processing: a step towards a better understanding of the neural origins of developmental dyscalculia

The two-network framework of number processing: a step towards a better understanding of the neural origins of developmental dyscalculia

Attentional amplification of neural codes for number independent of other quantities along the dorsal visual stream

Mapping numerical perception and operations in relation to functional and anatomical landmarks of human parietal cortex

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